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Finding the Fourth Proportional to 1,630.38, 2,445.78 and 534.86

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Solution

The fourth proportional to 1,630.38, 2,445.78 and 534.86 is: 802.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.38 : 2,445.78 = 534.86 : x
  2. Step 2: Convert to fraction form
    1,630.38/2,445.78 = 534.86/x
  3. Step 3: Cross multiply
    1,630.38x = 2,445.78 × 534.86
  4. Step 4: Simplify right side
    1,630.38x = 1,308,137.66
  5. Step 5: Solve for x
    x = 1,308,137.66/1,630.38
  6. Step 6: Final answer
    x = 802.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.